3 years ago

Find the measure of each angle.

Mathematics

1 answer:

Ad libitum [116K]3 years ago

5 0

Answer: Two of the angles are 144° The other two angles are 36°

Step-by-step explanation: The sum of the angles of a parallelogram is 360°

There are two pairs of equal angles.

Using that information, we can create an equation

2x + 2(0.25x) = 360

2x + .5x = 360

2.5x = 360 . Divide both sides by 2.5 to find the value of x:

x = 144° Substitute 144 for x in the expression for the smaller angles

.25(144) = 36°

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